Greatest Common Factor of 1428 and 1432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 1428, 1432 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1428 and 1432 is 4.

GCF(1428,1432) = 4

GCF of 1428 and 1432

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 1428 and 1432

GCF of 1428 and 1432 is 4

Prime Factorization of 1428


2 1428
2 714
3 357
7 119
17 17
1

Prime factors of 1428 are 2,3,7,17. Prime factorization of 1428 in exponential form is:

1428 = 22×31×71×171

Prime Factorization of 1432


2 1432
2 716
2 358
179 179
1

Prime factors of 1432 are 2,179. Prime factorization of 1432 in exponential form is:

1432 = 23×1791

∴ So by taking common prime factors GCF of 1428 and 1432 is 4

Greatest Common Factor of 1428 and 1432 by matching factors method

Factors of 1428

List of positive integer factors of 1428 that divides 1428 without a remainder.

1,2,3,4,6,7,12,14,17,21,28,34,42,51,68,84,102,119,204,238,357,476,714,1428

Factors of 1432

List of positive integer factors of 1432 that divides 1432 without a remainder.

1,2,4,8,179,358,716,1432

Greatest Common Factor

We found the factors and prime factorization of 1428 and 1432. The biggest common factor number is the GCF number.
So the greatest common factor 1428 and 1432 is 4.

Also check out the Least Common Multiple of 1428 and 1432

Properties of GCF 1428 and 1432

(i) The GCF of 1428 and 1432 is associative

GCF of 1428 and 1432 = GCF of 1432 and 1428

Related Greatest Common Factor of 1428

Related Greatest Common Factor of 1432

Frequently Asked Questions on GCF of 1428 and 1432

1. What is the GCF of 1428 and 1432?

Answer: GCF of 1428 and 1432 is 4.

2. What are the Factors of 1428?

Answer: Factors of 1428 are 1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 34, 42, 51, 68, 84, 102, 119, 204, 238, 357, 476, 714, 1428. There are 24 integers that are factors of 1428. The greatest factor of 1428 is 1428.

3. What are the Factors of 1432?

Answer: Factors of 1432 are 1, 2, 4, 8, 179, 358, 716, 1432. There are 8 integers that are factors of 1432. The greatest factor of 1432 is 1432.

4. How to Find the GCF of 1428 and 1432?

Answer:

Greatest Common Factor of 1428 and 1432 = 4

Step 1: Find the prime factorization of 1428

1428 = 2 x 2 x 3 x 7 x 17

Step 2: Find the prime factorization of 1432

1432 = 2 x 2 x 2 x 179

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 1428 and 1432 is 4